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Finding the Fourth Proportional to 470.50, 649.30 and 296.08

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Solution

The fourth proportional to 470.50, 649.30 and 296.08 is: 408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.50 : 649.30 = 296.08 : x
  2. Step 2: Convert to fraction form
    470.50/649.30 = 296.08/x
  3. Step 3: Cross multiply
    470.50x = 649.30 × 296.08
  4. Step 4: Simplify right side
    470.50x = 192,244.74
  5. Step 5: Solve for x
    x = 192,244.74/470.50
  6. Step 6: Final answer
    x = 408.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.